Reducing a population of points in the 3D plot

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I have an 3D image with a population of vertices with X,Y,Z coordinates placed in the volume. The number of vertices can be very very large. I am looking for a way to mathematically reduce the number of vertices, based on their proximity to each other. I would like to have spots separated by a maximum distance between spots. This distance is maybe can be the size of a single voxel in the image.
Any ideas will be appreciated.
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Satyajeet Sasmal
Satyajeet Sasmal 2015-11-16
Would you like to reduce the number of tesselations? If so, please look at the link below:
It reduces the number of patches in your 3D image, thereby reducing the number of vertices for the image.

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